Question about a Force Table - Likelihood of Uncertainty? (lab based)

[twotaileddemon]

It's not a homework problem at all.. but it would help me with my understanding in my coursework, so I thought I'd ask here.

I did a lab with a force table recently. I got my measured values easily, and understand the vector nature of forces... but I'm wondering how accurate/precise is a force table? How much uncertainty is there?

For example, I had forces that were 350g @ 350*, 425g @ 270*, and 350g @ 190*.
The equilibrant found was 550g @ 90*.
However, if you do it mathematically by adding the x and y components of the vectors and finding the resultant, and then taking the opposite direction (the equilibrant is opposite in direction but equal in magnitude to it), you get 546.56g. Hence, there is a 3.44g difference from finding the equilibrant experimentally and mathematically/analytically.

Thus, I am asking does anyone know the average "uncertainty" of a force table? As in, how many grams can be added/taken away and how much the angle can differ before the equilibrant shows any difference? Thanks~

 

[anathema]

Hello,

Thank you for sharing your experience with the force table lab and your question about its accuracy and precision. I can assure you that it is important to understand the limitations and uncertainties of any experimental equipment or method in order to accurately interpret and draw conclusions from the data collected.

In terms of the force table, its accuracy and precision can depend on several factors such as the quality of the equipment, the skill and technique of the person using it, and the conditions in which the experiment is conducted. Generally, force tables are designed to be accurate within a certain range of measurements and angles, but there will always be some degree of uncertainty involved.

In your specific case, the difference of 3.44g between the experimental and mathematical values for the equilibrant may seem significant, but it is important to consider the possible sources of error. For example, did you take into account any friction or other external forces acting on the table or the strings? Did you ensure that the strings were perfectly taut and that the weights were placed at the exact angles indicated? These are just some factors that can affect the accuracy of the results.

To determine the average uncertainty of a force table, you can conduct multiple trials and compare the results to see how much they vary. This will give you an idea of the range of possible values and help you understand the overall precision of the equipment. It is also a good idea to consult with your instructor or refer to the manufacturer's specifications for the force table to get a better understanding of its accuracy and precision.

I hope this helps answer your question. Keep up the curiosity and critical thinking in your coursework! Best of luck in your studies.

 

[m2003]

I can tell you that the accuracy and precision of a force table can vary depending on several factors such as the quality of the equipment, the skill of the experimenter, and the conditions of the experiment. However, in general, force tables are designed to be precise and accurate tools for measuring forces and determining equilibrium.

In terms of uncertainty, it is important to consider both random and systematic errors. Random errors are caused by factors that are unpredictable and can vary from trial to trial, such as slight variations in measurement readings or human error. These errors can be reduced by taking multiple measurements and calculating an average.

On the other hand, systematic errors are caused by consistent factors that affect all measurements in the same way, such as a faulty instrument or an incorrect setup. These errors can be more difficult to identify and can only be reduced by improving the equipment or experimental setup.

In your example, the difference between the experimentally determined equilibrant and the mathematically calculated equilibrant could be due to a combination of random and systematic errors. It is difficult to determine the exact uncertainty without knowing more about the experimental conditions and equipment used.

In conclusion, while force tables are generally considered to be accurate and precise tools, it is important to keep in mind the potential sources of uncertainty and to take proper precautions to minimize them. This includes carefully calibrating and using the equipment, taking multiple measurements, and analyzing the data for any potential sources of error.